1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aalyn [17]
3 years ago
12

If a < 0 then the graph opens_____​

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
8 0

> means the line is curving downwards.

< means the line is curving upwards.

Assuming that this is a parabola, the inequality a > 0 means that the line is curving in a downward form. This inequality will also have a maximum.

Best of Luck!

telo118 [61]3 years ago
4 0

Answer:

down

Step-by-step explanation:

Assuming this is for a parabola

a>0 the graph opens up

a < 0 the graph opens down

( negative is a frown)

You might be interested in
A chemist wants to make 100 liters of a 44% acid solution. She has solutions that are 20% acid and 60% acid.
alexgriva [62]

the first solution is 20% acid, and say we'll be using "x" liters, so how many liters of just acid are in it?  well 20% of "x" or namely 0.2x.  Likewise for the 60% acid solution, if we had "y" liters of it, the amount of only acid in it is 0.6y.

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&x&0.20&0.2x\\ \textit{2nd solution}&y&0.60&0.6y\\ \cline{2-4}&\\ mixture&100&0.44&44 \end{array}~\hfill \begin{cases} x+y=100\\\\ 0.2x+0.6y=44 \end{cases}

x+y=100\implies y=100-x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.2x+0.6(100-x)=44} \\\\\\ 0.2x+60-0.6x=44\implies -0.4x+60=44\implies -0.4x=-16 \\\\\\ x=\cfrac{-16}{-0.4}\implies \boxed{x=40}~\hfill \boxed{\stackrel{100-40}{y=60}}

7 0
2 years ago
Find the inverse function for
kifflom [539]
\bf \stackrel{f(x)}{y}=\sqrt{2x-6}\qquad \qquad \stackrel{f^{-1}(x)}{y}=\cfrac{x^2+6}{2}

that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.

now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.

that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse.  Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.

notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.

recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.

6 0
3 years ago
Can someone plz help me!!! 5-7?!
defon

Answer:

#5: d=22, #6: m=4\frac1{10}, #7: 2\frac3{11}=z

Step-by-step explanation:

#5:

2\cdot (4\cdot5-3^2)=2\cdot (4\cdot5-3\cdot3)=2\cdot (20-9)=2\cdot11=22

#6:

5\frac25-1\frac3{10}=5\frac4{10}-1\frac3{10}=4\frac1{10}

#7:

\frac{40-15}{5+6}=\frac{25}{11}=2\frac3{11}

7 0
3 years ago
Read 2 more answers
How is 33 the answer to 6% of 550
NikAS [45]
Is  %
  =
of 100

x 6
 =
550 100
cross multiply and divide 

100x=3300
divide both sides by 100
x=33

6 0
3 years ago
Please help on this problem
Harlamova29_29 [7]
Answer: EP is 12 and EO is about 10.91.

To find the length of EP, we can use the Pythagorean Theorem with the 2 legs of the right triangle it would form, EC and CP. CP would be 5 because it is the midpoint of the side.

5^2 + (EP)^2 = 13^2
EP = 12

Now, to find EO, we write and solve another Pythagorean Theorem equation using 12 for EP.

5^2 + (EO)^2 = 12^2
EO equals the square root of 119 or about 10.91.
6 0
3 years ago
Other questions:
  • pat got 4 out of 25 questions wrong on his first quiz in science and he got 31 out of 33 right on his second quiz. What is the d
    10·2 answers
  • Saige's spaceship traveled 588 km in 60 sec. Determine whether or not each spaceship trip below has the same speed as Saige's sp
    9·1 answer
  • The 100th term of 70​, 110​, 150​, ... is .
    5·2 answers
  • 82,321 to the nearest hundred ?
    8·1 answer
  • I BEEN STUCK ON THIS FOR SO LONG
    11·2 answers
  • It takes 1 minute for a high speed train to travel 2 miles. How many miles can it travel in 1 hour?​
    13·2 answers
  • The Questions are in the PDF! please help me
    13·1 answer
  • If 4 is added to 3 times a number “a” the result is 16. What is the number?
    5·1 answer
  • 11/2 z + 9/5 = 1.8 + 12z -6.5z=?​
    10·2 answers
  • Ab" that goes through points (0,9)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!